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Finding the Fourth Proportional to 114,297.45, 171,454.40 and 39,416.52

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Solution

The fourth proportional to 114,297.45, 171,454.40 and 39,416.52 is: 59,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297.45 : 171,454.40 = 39,416.52 : x
  2. Step 2: Convert to fraction form
    114,297.45/171,454.40 = 39,416.52/x
  3. Step 3: Cross multiply
    114,297.45x = 171,454.40 × 39,416.52
  4. Step 4: Simplify right side
    114,297.45x = 6,758,135,786.69
  5. Step 5: Solve for x
    x = 6,758,135,786.69/114,297.45
  6. Step 6: Final answer
    x = 59,127.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.